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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exp. Prime Factor Digits Year
2222653889061218
222272344454477 ~1981
2222729311182078 ~1983
2222741133364478 ~1982
2223031222303118 ~1982
222305944461197 ~1981
2223317177865378 ~1982
222344344468877 ~1981
2223623578141998 ~1983
2223701133422078 ~1982
22237011378694639
222383944476797 ~1981
222391144478237 ~1981
2223911400303998
2224247533819298 ~1983
2224267103650842310 ~1986
222455944491197 ~1981
2224657533917698 ~1983
2224661177972898 ~1982
222476344495277 ~1981
22248371557385919 ~1984
2224931177994498 ~1982
222499144499837 ~1981
2225101133506078 ~1982
222515944503197 ~1981
Exp. Prime Factor Digits Year
2225323356051698 ~1983
222533944506797 ~1981
2225339712108498
222554344510877 ~1981
2225557356089138 ~1983
222577144515437 ~1981
222581944516397 ~1981
2225887356141938 ~1983
222599944519997 ~1981
2226041133562478 ~1982
2226089534261378 ~1983
2226221133573278 ~1982
2226313133578798 ~1982
2226353133581198 ~1982
22263731558461119 ~1984
2226593133595598 ~1982
2226613356258098 ~1983
2226733489881278 ~1983
2226787757107598 ~1984
22270032494243379 ~1985
2227031400865598 ~1983
2227193133631598 ~1982
222722344544477 ~1981
222745144549037 ~1981
2227451579137278
Exp. Prime Factor Digits Year
2227501133650078 ~1982
222758344551677 ~1981
2227601178208098 ~1982
2227639534633378 ~1983
222776344555277 ~1981
2227831356452978 ~1983
222785944557197 ~1981
222787144557437 ~1981
2228101356496178 ~1983
22281171247745539 ~1984
222818344563677 ~1981
2228183579327598
2228351713072338 ~1984
222842344568477 ~1981
2228573133714398 ~1982
222877144575437 ~1981
2228893490356478 ~1983
2228981133738878 ~1982
2229089713308498 ~1984
2229119178329538 ~1982
222929944585997 ~1981
22293492095588079 ~1985
2229503535080738 ~1983
2229587178366978 ~1982
222959944591997 ~1981
Exp. Prime Factor Digits Year
2229697356751538 ~1983
2229767178381378 ~1982
2229769535144578 ~1983
2229779936507198 ~1984
222986344597277 ~1981
2229917178393378 ~1982
2229943758180638 ~1984
2230097133805838 ~1982
2230133312218638 ~1983
223013944602797 ~1981
2230253535260738 ~1983
2230301133818078 ~1982
2230301847514398
2230411356865778 ~1983
223043944608797 ~1981
2230541178443298 ~1982
2230577133834638 ~1982
2230783356925298 ~1983
2230861133851678 ~1982
22310511249388579 ~1984
223117144623437 ~1981
2231209535490178 ~1983
2231219535492578 ~1983
2231279178502338 ~1982
2231279401630238
416
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25-09-07